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Mini-Workshop: The Willmore Functional and the Willmore Conjecture

dc.date.accessioned2019-10-24T14:44:12Z
dc.date.available2019-10-24T14:44:12Z
dc.date.issued2013
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3368
dc.description.abstractThe Willmore functional evaluated on a surface immersed into Euclidean space is given by the $L^2$-norm of its mean curvature. The interest for studying this functional comes from various directions. First, it arises in applications from biology and physics, where it is used to model surface tension in the Helfrich model for bilipid layers, or in General Relativity where it appears in Hawking’s quasi-local mass. Second, the mathematical properties justify consideration of the Willmore functional in its own right. The Willmore functional is one of the most natural extrinsic curvature functionals for immersions. Its critical points solve a fourth order Euler-Lagrange equation, which has all minimal surfaces as solutions.
dc.titleMini-Workshop: The Willmore Functional and the Willmore Conjecture
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWR-2013-37
local.series.idOWR-2013-37
local.subject.msc58
local.subject.msc49
local.subject.msc53
local.subject.msc35
local.sortindex808
local.date-range21 Jul - 27 Jul 2013
local.workshopcode1330b
local.workshoptitleMini-Workshop: The Willmore Functional and the Willmore Conjecture
local.organizersTobias Lamm, Karlsruhe; Jan Metzger, Potsdam; Andre Neves, London
local.report-nameWorkshop Report 2013,37
local.opc-photo-id1330b
local.publishers-doi10.4171/OWR/2013/37
local.ems-referenceLamm Tobias, Metzger Jan, Neves André: Mini-Workshop: The Willmore Functional and the Willmore Conjecture. Oberwolfach Rep. 10 (2013), 2119-2153. doi: 10.4171/OWR/2013/37


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